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    Question

    In a container, oil and diesel are mixed in the ratio 3:2.

    If 9 litres oil and 4 litres diesel are added, the ratio becomes 5:3. Determine the original quantity of mixture.
    A 70 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let oil = 3y, diesel = 2y

    (3y + 9):(2y + 4) = 5:3

    ⇒ 3(3y + 9) = 5(2y + 4)

    ⇒ 9y + 27 = 10y + 20

    ⇒ y = 7

    Initial quantity = 3y + 2y = 5y = 5 × 7 = 35 litres

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